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Finding the Fourth Proportional to 407,457.72, 611,184.98 and 229,883.96

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Solution

The fourth proportional to 407,457.72, 611,184.98 and 229,883.96 is: 344,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,457.72 : 611,184.98 = 229,883.96 : x
  2. Step 2: Convert to fraction form
    407,457.72/611,184.98 = 229,883.96/x
  3. Step 3: Cross multiply
    407,457.72x = 611,184.98 × 229,883.96
  4. Step 4: Simplify right side
    407,457.72x = 140,501,623,494.92
  5. Step 5: Solve for x
    x = 140,501,623,494.92/407,457.72
  6. Step 6: Final answer
    x = 344,825.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.